Every slot, every probability, and the arithmetic to redo it
Nothing here is quoted from anyone
These figures come from no source at all. A board of n rows has 2^n paths, and the number of paths ending in each slot is a binomial coefficient — so the whole distribution can be written out exactly, for any board, by anyone with a calculator. Here it is for 8, 12 and 16 rows.
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| Wild.io | Curaçao Gaming Authority | 12 | 80 | no amount published | 45 | |
| Bitcasino.io | Curaçao Gaming Authority | not read | 120 | 2,500 EUR | 1 | |
| Rocketpot | Curacao | 13 | not read | US$2,500 | 34 | |
| Rainbet | Anjouan Gaming Board | 9 | 33 | no amount published | 11 | |
| Wolf.bet | Government of the Autonomous Island of Anjouan, Union of Comoros | 13 | 32 | no amount published | 48 | |
| DuckDice | Anjouan Gaming Board | 10 | 19 | no amount published | 16 | |
| Flush | Anjouan Gaming Board | 9 | 85 | not read | list not read | |
| Bitsler | Curaçao Gaming Authority | not read | 41 | no amount published | 1 | |
| BitStarz | Curaçao Gaming Authority | not read | 62 | no amount published | 74 | |
Why these numbers need no source
Everything below follows from one sentence: the ball makes one independent left-or-right decision per row, and the slot it lands in is determined by how many of those decisions were rights.
From that, the number of paths ending in a given slot is the number of ways of choosing which rows were the right-hand ones, which is a binomial coefficient. The total number of paths is 2 raised to the number of rows. A probability is the first divided by the second. That is the entire derivation, and it is unpacked more slowly on the page about the mechanism.
This is unusual on a gambling site and it is the reason this page exists. Almost every figure elsewhere in this subject is somebody's claim, traceable at best to a document. These are not claims. If a reader disagrees with a number below, the disagreement can be settled with a calculator in about a minute.
8 rows: 256 paths, 9 slots
Slots are numbered outward from the left edge. The table is symmetric, so slot 0 and slot 8 are identical, slot 1 and slot 7 are identical, and so on.
| Slot | Paths | Probability | Roughly |
|---|---|---|---|
| 0 and 8 (edges) | 1 | 0.3906% | 1 in 256 |
| 1 and 7 | 8 | 3.1250% | 1 in 32 |
| 2 and 6 | 28 | 10.9375% | 1 in 9.1 |
| 3 and 5 | 56 | 21.8750% | 1 in 4.6 |
| 4 (centre) | 70 | 27.3438% | 1 in 3.7 |
The nine path counts read 1, 8, 28, 56, 70, 56, 28, 8, 1, and they sum to 256.
12 rows: 4,096 paths, 13 slots
| Slot | Paths | Probability | Roughly |
|---|---|---|---|
| 0 and 12 (edges) | 1 | 0.0244% | 1 in 4,096 |
| 1 and 11 | 12 | 0.2930% | 1 in 341 |
| 2 and 10 | 66 | 1.6113% | 1 in 62 |
| 3 and 9 | 220 | 5.3711% | 1 in 19 |
| 4 and 8 | 495 | 12.0850% | 1 in 8.3 |
| 5 and 7 | 792 | 19.3359% | 1 in 5.2 |
| 6 (centre) | 924 | 22.5586% | 1 in 4.4 |
The thirteen counts sum to 4,096.
16 rows: 65,536 paths, 17 slots
| Slot | Paths | Probability | Roughly |
|---|---|---|---|
| 0 and 16 (edges) | 1 | 0.0015% | 1 in 65,536 |
| 1 and 15 | 16 | 0.0244% | 1 in 4,096 |
| 2 and 14 | 120 | 0.1831% | 1 in 546 |
| 3 and 13 | 560 | 0.8545% | 1 in 117 |
| 4 and 12 | 1,820 | 2.7771% | 1 in 36 |
| 5 and 11 | 4,368 | 6.6650% | 1 in 15 |
| 6 and 10 | 8,008 | 12.2192% | 1 in 8.2 |
| 7 and 9 | 11,440 | 17.4561% | 1 in 5.7 |
| 8 (centre) | 12,870 | 19.6381% | 1 in 5.1 |
The seventeen counts sum to 65,536.
Three things the tables say at a glance
The centre thins as rows are added. 27.34% at 8 rows, 22.56% at 12, 19.64% at 16. The ball is not less drawn to the middle; the middle has simply been cut into more pieces. The effect of the selector is worked through on the rows page.
The edges collapse. One in 256 at 8 rows becomes one in 65,536 at 16 — a factor of 256 across a change that looks, on the screen, like moving a slider two notches. This is the arithmetic behind the very large multipliers printed at the ends of taller boards, which is taken apart on the multipliers page.
The bulk is narrow. On a 16-row board the three central slots take 54.55% of drops between them and the five central slots take 78.99%. Four fifths of outcomes land in under a third of the board's width.
What the tables are not
They are not a return-to-player figure. A probability distribution says how often each slot is reached; it says nothing at all about what any slot pays. Pair this distribution with one paytable and you get one expected return, pair it with another and you get another, which is exactly the swap the risk control performs on the risk levels page.
They are not a prediction about a run of drops. Each drop is independent, so a sequence of centre results makes the next result neither more nor less likely to be different.
And they are not advice. No slot, no row count and no risk setting is called good anywhere on this site, and the precision of this page is not an argument that any of them is.
Underneath the game sits an account
Once the ball has landed, everything that happens next is governed by documents rather than by arithmetic: what identity checks apply, how much can be withdrawn in a period, which countries an operator excludes. Those are read from the operators' own terms and licence registers and set out on the home page and on the verification page. How this site separates computed figures from quoted ones is on the methodology page.
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